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Finding the Fourth Proportional to 590.10, 814.32 and 328.12

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Solution

The fourth proportional to 590.10, 814.32 and 328.12 is: 452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.10 : 814.32 = 328.12 : x
  2. Step 2: Convert to fraction form
    590.10/814.32 = 328.12/x
  3. Step 3: Cross multiply
    590.10x = 814.32 × 328.12
  4. Step 4: Simplify right side
    590.10x = 267,194.68
  5. Step 5: Solve for x
    x = 267,194.68/590.10
  6. Step 6: Final answer
    x = 452.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.